The support designs of the triply even binary codes of length 48

Tsuyoshi Miezaki, Hiroyuki Nakasora

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, we present examples of codes all of whose weight classes support 1-designs, with duals whose classes include two that support 2-designs. We can find these examples in the triply even binary codes of length 48, which have been classified by Betsumiya and Munemasa.

Original languageEnglish
Pages (from-to)673-681
Number of pages9
JournalJournal of Combinatorial Designs
Volume27
Issue number11
DOIs
Publication statusPublished - 2019 Nov 1
Externally publishedYes

Keywords

  • harmonic weight enumerator
  • support designs
  • triply even binary codes

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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